10864404680 has 64 divisors (see below), whose sum is σ = 25063274880. Its totient is φ = 4236019200.

The previous prime is 10864404679. The next prime is 10864404737. The reversal of 10864404680 is 8640446801.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2508677 + ... + 2513003.

It is an arithmetic number, because the mean of its divisors is an integer number (391613670).

Almost surely, 2^10864404680 is an apocalyptic number.

10864404680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10864404680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531637440).

10864404680 is an abundant number, since it is smaller than the sum of its proper divisors (14198870200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10864404680 is a wasteful number, since it uses less digits than its factorization.

10864404680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 10864404680 in words is "ten billion, eight hundred sixty-four million, four hundred four thousand, six hundred eighty".